In [1]}, Horowitz-Myers constructed so-called AdS solitons with toroidal topology
\(-r^{2}dt^{2}+\frac{1}{\frac{r^{2}}{\ell ^{2}}\left(1-\frac{\breve{r} _{0}^{n}}{r^{n}}\right)}dr^{2}+\frac{r^{2}}{\ell ^{2}}\left(1-\frac{\breve{r} _{0}^{n}}{r^{n}}\right)d\xi ^{2}+r^{2}\sum _{i=3} ^{n}(d\phi ^{i})^{2} \) 
